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Finding the Fourth Proportional to 7,137.38, 10,706.38 and 2,207.11

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Solution

The fourth proportional to 7,137.38, 10,706.38 and 2,207.11 is: 3,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.38 : 10,706.38 = 2,207.11 : x
  2. Step 2: Convert to fraction form
    7,137.38/10,706.38 = 2,207.11/x
  3. Step 3: Cross multiply
    7,137.38x = 10,706.38 × 2,207.11
  4. Step 4: Simplify right side
    7,137.38x = 23,630,158.36
  5. Step 5: Solve for x
    x = 23,630,158.36/7,137.38
  6. Step 6: Final answer
    x = 3,310.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.